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                         New  mathematical  models  were  developed  for  predicting  the  fracture

                  toughness  of  transmission  gas  pipeline  steels,  taking  into  account  hydrogen

                  concentration and in-service material degradation. For both conditions of 17H1S steel

                  (as-received and long-term service-exposed), corresponding functional relationships

                  were  proposed  based  on  experimental  data  and  processed  using  the  least  squares

                  method.  The  developed  models  incorporate  the  solution  of  hydrogen  diffusion

                  equations under real pipeline operating conditions, enabling prediction of hydrogen

                  concentration distribution through the pipe wall thickness and assessment of fracture

                  toughness degradation under hydrogen exposure during service.

                         Scientific novelty of the obtained results

                         The study substantiates the feasibility of reducing the loading rate of highly

                  ductile pipeline steels below the levels recommended in standard J-integral testing

                  procedures as a necessary condition to enable hydrogen absorbed in the  metal to

                  diffuse into the fracture process zone at the tip of a pre-existing fatigue crack, thereby

                  allowing its effect on fracture toughness to be evaluated.

                         A computational model for predicting the distribution of diffusively mobile


                  hydrogen concentration in the metal of a pipe wall has been developed using physics-
                  informed  neural  networks.  The  model  was  used  to  evaluate  the  time-dependent


                  evolution of hydrogen concentration distribution in the pipe wall material.
                         Mathematical  models  have  been  formulated  for  predicting  the  fracture


                  toughness of pipeline steels as a function of hydrogen concentration, accounting for
                  service-induced material degradation. The developed models are integrated with the


                  solution of the hydrogen diffusion equation for real pipeline operating conditions,

                  enabling  prediction  of  the  evolution  of  static  fracture  toughness  of  steels  in  gas

                  transmission  pipelines  depending  on  hydrogen  concentration  and  material

                  degradation during service.

                         A criterion has been substantiated for determining the limit state of pipeline

                  steel in terms of static fracture toughness under hydrogen transport conditions. This

                  criterion is based on the established relationships describing the influence of hydrogen

                  charging  intensity  and  loading  rate  on  the  fracture  toughness  characteristics  of
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